Non-Productive Time per component given Minimum Production Cost Solution

STEP 0: Pre-Calculation Summary
Formula Used
Setup Time = (Production Cost of Each Component/Machining and Operating Rate)-(Constant For Machining Condition*((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent)/(Reference Cutting Velocity*(1-Taylor's Tool Life Exponent)))
ts = (Cpr/M)-(K*((T/Tref)^n)/(Vref*(1-n)))
This formula uses 8 Variables
Variables Used
Setup Time - (Measured in Second) - Setup Time of each component is the time required to load/unload the workpiece and position the tool for production for one component.
Production Cost of Each Component - Production Cost of Each Component is the total amount that it takes to produce a single component from scratch.
Machining and Operating Rate - Machining and Operating Rate is the money charged for processing on and operating machines per unit time, including overheads.
Constant For Machining Condition - (Measured in Meter) - Constant For Machining Condition can be regarded as the distance moved by the tool corner relative to the workpiece during a particular machining condition. It is usually measured in "Metre".
Tool Life - (Measured in Second) - Tool Life is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations.
Reference Tool Life - (Measured in Second) - Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition.
Taylor's Tool Life Exponent - Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear.
Reference Cutting Velocity - (Measured in Meter per Second) - Reference Cutting Velocity is the Cutting Velocity of the tool used in the reference Machining Condition.
STEP 1: Convert Input(s) to Base Unit
Production Cost of Each Component: 2.14 --> No Conversion Required
Machining and Operating Rate: 0.00283 --> No Conversion Required
Constant For Machining Condition: 186.0331 Meter --> 186.0331 Meter No Conversion Required
Tool Life: 3000 Second --> 3000 Second No Conversion Required
Reference Tool Life: 60 Second --> 60 Second No Conversion Required
Taylor's Tool Life Exponent: 0.125 --> No Conversion Required
Reference Cutting Velocity: 0.76 Meter per Second --> 0.76 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ts = (Cpr/M)-(K*((T/Tref)^n)/(Vref*(1-n))) --> (2.14/0.00283)-(186.0331*((3000/60)^0.125)/(0.76*(1-0.125)))
Evaluating ... ...
ts = 299.999977335292
STEP 3: Convert Result to Output's Unit
299.999977335292 Second --> No Conversion Required
FINAL ANSWER
299.999977335292 300 Second <-- Setup Time
(Calculation completed in 00.004 seconds)

Credits

Created by Kumar Siddhant
Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
Kumar Siddhant has created this Calculator and 400+ more calculators!
Verified by Parul Keshav
National Institute of Technology (NIT), Srinagar
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7 Minimum Production Cost Calculators

Reference Cutting Velocity given Minimum Production Cost
Go Reference Cutting Velocity = Constant For Machining Condition*((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent) /((1-Taylor's Tool Life Exponent)*((Production Cost of Each Component/Machining and Operating Rate)-Setup Time))
Tool Life for minimum cost given Minimum Production Cost
Go Tool Life = Reference Tool Life*((((Production Cost of Each Component/Machining and Operating Rate)-Setup Time)*Reference Cutting Velocity*(1-Taylor's Tool Life Exponent)/Constant For Machining Condition)^(1/Taylor's Tool Life Exponent))
Reference Tool Life given Minimum Production Cost
Go Reference Tool Life = Tool Life/((((Production Cost of Each Component/Machining and Operating Rate)-Setup Time)*Reference Cutting Velocity*(1-Taylor's Tool Life Exponent)/Constant For Machining Condition)^(1/Taylor's Tool Life Exponent))
Non-Productive Time per component given Minimum Production Cost
Go Setup Time = (Production Cost of Each Component/Machining and Operating Rate)-(Constant For Machining Condition*((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent)/(Reference Cutting Velocity*(1-Taylor's Tool Life Exponent)))
Machining and Operating Rate given Minimum Production Cost
Go Machining and Operating Rate = Production Cost of Each Component/(Setup Time+(Constant For Machining Condition*((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent)/(Reference Cutting Velocity*(1-Taylor's Tool Life Exponent))))
Minimum Production Cost per Component
Go Production Cost of Each Component = Machining and Operating Rate*(Setup Time+(Constant For Machining Condition*((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent)/(Reference Cutting Velocity*(1-Taylor's Tool Life Exponent))))
Constant for Machining Operation given Minimum Production Cost
Go Constant For Machining Condition = ((Production Cost of Each Component/Machining and Operating Rate)-Setup Time)*Reference Cutting Velocity*(1-Taylor's Tool Life Exponent)/((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent)

Non-Productive Time per component given Minimum Production Cost Formula

Setup Time = (Production Cost of Each Component/Machining and Operating Rate)-(Constant For Machining Condition*((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent)/(Reference Cutting Velocity*(1-Taylor's Tool Life Exponent)))
ts = (Cpr/M)-(K*((T/Tref)^n)/(Vref*(1-n)))

Significance of Non-Productive Time

The Non-Productive Time helps the concerned to determine the resource of the industry being wasted due to time lapse in important but non-profitable processes of the production line. It also helps in determining the required measures to be taken to increase the productivity of the plant which generally includes steps to decrease the Total Non-Productive Cost.

How to Calculate Non-Productive Time per component given Minimum Production Cost?

Non-Productive Time per component given Minimum Production Cost calculator uses Setup Time = (Production Cost of Each Component/Machining and Operating Rate)-(Constant For Machining Condition*((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent)/(Reference Cutting Velocity*(1-Taylor's Tool Life Exponent))) to calculate the Setup Time, The Non-Productive Time per component given Minimum Production Cost is a method to determine the maximum time that can be spent to load/unload the workpiece and/or reposition the tool for the manufacturing of a single product such that the of Production is Minimum. Setup Time is denoted by ts symbol.

How to calculate Non-Productive Time per component given Minimum Production Cost using this online calculator? To use this online calculator for Non-Productive Time per component given Minimum Production Cost, enter Production Cost of Each Component (Cpr), Machining and Operating Rate (M), Constant For Machining Condition (K), Tool Life (T), Reference Tool Life (Tref), Taylor's Tool Life Exponent (n) & Reference Cutting Velocity (Vref) and hit the calculate button. Here is how the Non-Productive Time per component given Minimum Production Cost calculation can be explained with given input values -> 300 = (2.14/0.00283)-(186.0331*((3000/60)^0.125)/(0.76*(1-0.125))).

FAQ

What is Non-Productive Time per component given Minimum Production Cost?
The Non-Productive Time per component given Minimum Production Cost is a method to determine the maximum time that can be spent to load/unload the workpiece and/or reposition the tool for the manufacturing of a single product such that the of Production is Minimum and is represented as ts = (Cpr/M)-(K*((T/Tref)^n)/(Vref*(1-n))) or Setup Time = (Production Cost of Each Component/Machining and Operating Rate)-(Constant For Machining Condition*((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent)/(Reference Cutting Velocity*(1-Taylor's Tool Life Exponent))). Production Cost of Each Component is the total amount that it takes to produce a single component from scratch, Machining and Operating Rate is the money charged for processing on and operating machines per unit time, including overheads, Constant For Machining Condition can be regarded as the distance moved by the tool corner relative to the workpiece during a particular machining condition. It is usually measured in "Metre", Tool Life is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations, Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition, Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear & Reference Cutting Velocity is the Cutting Velocity of the tool used in the reference Machining Condition.
How to calculate Non-Productive Time per component given Minimum Production Cost?
The Non-Productive Time per component given Minimum Production Cost is a method to determine the maximum time that can be spent to load/unload the workpiece and/or reposition the tool for the manufacturing of a single product such that the of Production is Minimum is calculated using Setup Time = (Production Cost of Each Component/Machining and Operating Rate)-(Constant For Machining Condition*((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent)/(Reference Cutting Velocity*(1-Taylor's Tool Life Exponent))). To calculate Non-Productive Time per component given Minimum Production Cost, you need Production Cost of Each Component (Cpr), Machining and Operating Rate (M), Constant For Machining Condition (K), Tool Life (T), Reference Tool Life (Tref), Taylor's Tool Life Exponent (n) & Reference Cutting Velocity (Vref). With our tool, you need to enter the respective value for Production Cost of Each Component, Machining and Operating Rate, Constant For Machining Condition, Tool Life, Reference Tool Life, Taylor's Tool Life Exponent & Reference Cutting Velocity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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